What is the Greatest Common Factor of 35508 and 35521?

Greatest common factor (GCF) of 35508 and 35521 is 1.

GCF(35508,35521) = 1

We will now calculate the prime factors of 35508 and 35521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35508 and 35521.

How to find the GCF of 35508 and 35521?

We will first find the prime factorization of 35508 and 35521. After we will calculate the factors of 35508 and 35521 and find the biggest common factor number .

Step-1: Prime Factorization of 35508

Prime factors of 35508 are 2, 3, 11, 269. Prime factorization of 35508 in exponential form is:

35508 = 2² × 3¹ × 11¹ × 269¹

Step-2: Prime Factorization of 35521

Prime factors of 35521 are 35521. Prime factorization of 35521 in exponential form is:

35521 = 35521¹

Step-3: Factors of 35508

List of positive integer factors of 35508 that divides 35508 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 269, 538, 807, 1076, 1614, 2959, 3228, 5918, 8877, 11836, 17754

Step-4: Factors of 35521

List of positive integer factors of 35521 that divides 35508 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35508 and 35521. The biggest common factor number is the GCF number.
So the greatest common factor 35508 and 35521 is 1.

Also check out the Least Common Multiple of 35508 and 35521